Finding the Third Proportional to 36,223 and 76,806

Step by Step Solution

1. Step 1: Write the proportion equation
   36,223 : 76,806 = 76,806 : x
2. Step 2: Convert to fraction form
   36,223/76,806 = 76,806/x
3. Step 3: Cross multiply
   36,223x = 76,806 × 76,806
4. Step 4: Simplify right side
   36,223x = 5,899,161,636
5. Step 5: Solve for x
   x = 5,899,161,636/36,223
6. Step 6: Final answer
   x = 162,856.79